20 March 2022

Puzzle #2 (logic) from my India trip

This puzzle also comes courtesy my eldest nephew.

There are 101 boxes. A girl marked them “1”, “2”, “3”…. all the way to “101”. She had two colored pens to mark the boxes with – red and blue. And she used both of them. Only one color was used for any one box. We know that the total number of blue boxes is the same as the highest numbered blue color marked box. And to that if you add twice the lowest numbered red color marked box, you will get the total number of boxes.

The question is, how many blue and red boxes were there?

17 March 2022

Puzzle #1 (math) from my India trip

This was given to me by my elder nephew. I was able to solve it but in the process I learnt a new concept in numbers called partition number. My nephew taught me a method of how to get to the partition number for a number. He claimed it is called the Chinese method.

Here is the puzzle:

In the following expression, once expanded, what is the coefficient of x9 ?

(1+x)(1+x2)(1+x3)(1+x4)(1+x5)….(1+x100)

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15 March 2022

Relaxing by the poolside

Sister’s family and brother will join later. I am by myself with no “todo”s for a couple of hours. I am doing one of those activities that relaxes me a lot. Sitting in the shade by the pool on a hot, sultry day in Kolkata and writing down the stories of intersection points. (Of course, the other activity I like is chatting up total strangers looking for intersection points!! )